Answer:
x = -13 and y = -4
Step-by-step explanation:
-4x + 8y = 20 ................... eqn 1
2x + 2y = -30 ................... eqn 2
Step 1: Multiply eqn 1 by 2 and eqn 2 by 4
(-4x + 8y = 20) × 2
(2x + 2y = -30) × 4
we will have
-8x + 16y = 40 ....................eqn 3
8x + 4y = - 120 .................. eqn 4
Step 2: Add eqn 3 and 4 together
20y = - 80
Step 3: divide all through by 20
y = -80/20
y = -4
Step 4: Substitute -4 for y in eqn 1
-4x + 8(-4) = 20
-4x - 32 = 20
-4x = 20 + 32
-4x = 52
Step 5: Divide both sides by -4
x = 52/-4
x = -13